The sphere weighs .075pound per cubic inch if the sphere radius is 4inches what is the weight to the sphere to the nearest pound
1 answer:
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1. Height of the equilateral triangle is: √3 units
2. Area of the equilateral triangle = √3 units²
3. Area = √3/4 x², when each side is x.
<h3>What is an Equilateral Triangle?</h3>A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.
1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:
h = √(2² - 1²)
h = √(4 - 1)
h = √3
2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)
Area of the equilateral triangle = √3 units²
3. If x is the side length of the equilateral triangle, we would have:
height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x
Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²
Learn more about equilateral triangle on:
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Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
substitute our data
The volume of the ball
substitute our data
The space will have a volume of
=628.4-523.7
=104.7 in^3
Answer:
Mark needs 110 ft. fencing to surround all 4 gardens.
Step-by-step explanation:
Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula
P = 2(L) + 2(W)
Total Length of the garden =
=
Length = 18.5 feet
Total width of the garden =
=
Width = 9.0 feet
Perimeter of the garden = 18.5 + 9 = 27.5 feet
Mark wants to fence 4 garden
Therefore, 27.5 × 4 = 110 feet.
Mark needs 110 ft. fencing to surround all 4 gardens.